Question

You know that

52​%
of a​ number, x, is
65.
You also know that
26​%
of a​ number, y, is
39.
What are the values of x and​ y? Which number is​ greater? Explain how you can find whether x or y is greater without finding their values.

Answer 1

so remember that percent means parts out of 100 so
52%=52/100=0.52

26%=26/100=0.26
'of' means multily

0.52 times x=65
divide both sides by 00.52
x=125




26% of a number is 39
0.26 times y=39
divide both sides by 0.26
y=150


x=125
y=150
y is greater


you know that becuase we know that 52% is exatly twice of 26% so therefor, if x=y then 52% of x is half of 26% of y so to compare them, we just divide the 65 number by 2 to find 26% of that number to get 65/2=32.5
32.5<39 so x is smaller number